Linear and conic reformulations for the maximum capture location problem under multinomial logit choice

• Published in: Optimization letters Vol. 15; no. 8; pp. 2611 - 2637
• Main Authors: Altekin, F. Tevhide, Dasci, Abdullah, Karatas, Mumtaz
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2021
• Subjects: Computational Intelligence; Mathematics; Mathematics and Statistics; Numerical and Computational Physics; Operations Research/Decision Theory; Optimization; Original Paper; Simulation; Random utility model; Competitive facility location; Conic programming; Location; Maximum capture

This paper presents three reformulations for the well-known maximum capture location problem under multinomial logit choice. The problem can be cast as an integer fractional program and it has been the subject of several linear reformulations in the past. Here we develop two linear and a conic refor...